Finding the Third Proportional to 1,143 and 1,817
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Solution
The third proportional to 1,143 and 1,817 is: 2,888.44
Step by Step Solution
- Step 1: Write the proportion equation
1,143 : 1,817 = 1,817 : x - Step 2: Convert to fraction form
1,143/1,817 = 1,817/x - Step 3: Cross multiply
1,143x = 1,817 × 1,817 - Step 4: Simplify right side
1,143x = 3,301,489 - Step 5: Solve for x
x = 3,301,489/1,143 - Step 6: Final answer
x = 2,888.44
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.